Continuous deformations of harmonic maps and their unitons

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Abstract

It is known that any harmonic map of finite uniton number from a Riemann surface into U (n) can be deformed into a new harmonic map with an associated S1-invariant extended solution. We study this deformation in detail using operator-theoretic methods. In particular, we show that the corresponding unitons are real analytic functions of the deformation parameter, and that the deformation is closely related to the Bruhat decomposition of the corresponding extended solution.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • Autonomous University of Madrid
  • University of Southern Denmark
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
TidskriftMonatshefte fur Mathematik
StatusPublished - 2019 jan 28
PublikationskategoriForskning
Peer review utfördJa